Caulophacus basispinosus Lévi, 1964 represented as Caulophacus (Caulophacus) basispinosus Lévi, 1964 (original description)
Caulophacus galatheae Lévi, 1964 represented as Caulophacus (Caulophacus) galatheae Lévi, 1964 (original description)
Characella tuberosa Lévi, 1964 accepted as Poecillastra tuberosa (Lévi, 1964) (original description)
Chondrocladia multichela Lévi, 1964 represented as Chondrocladia (Chondrocladia) multichela Lévi, 1964 (original description)
Cladorhiza ephyrula Lévi, 1964 (original description)
Cladorhiza nematophora Lévi, 1964 (original description)
Corynonema Ijima, 1927 accepted as Hyalonema (Corynonema) Ijima, 1927 (status source)
Corynonema eupinnulum Lévi, 1964 accepted as Hyalonema (Cyliconema) eupinnulum (Lévi, 1964) (original description)
Corynonema natalense Lévi, 1964 accepted as Hyalonema (Corynonema) natalense Lévi, 1964 (original description)
Cyliconema Ijima, 1927 accepted as Hyalonema (Cyliconema) Ijima, 1927 (status source)
Cyliconema abyssale Lévi, 1964 accepted as Hyalonema (Cyliconema) abyssale Lévi, 1964 (original description)
Cyliconema curvisclera Lévi, 1964 accepted as Hyalonema (Cyliconema) curvisclera Lévi, 1964 (original description)
Cyliconema madagascarense Lévi, 1964 accepted as Hyalonema (Cyliconema) madagascarense Lévi, 1964 (original description)
Geodia basilea Lévi, 1964 (original description)
Hertwigia falcifera Schmidt, 1880 (additional source)
Leptonema Lendenfeld, 1915 accepted as Hyalonema (Cyliconemaoida) Dohrmann, 2017 (status source)
Leptonema choaniferum Lévi, 1964 accepted as Hyalonema (Cyliconemaoida) choaniferum Lévi, 1964 (original description)
Oonema Lendenfeld, 1915 accepted as Hyalonema (Oonema) Lendenfeld, 1915 (status source)
Oonema ovichela Lévi, 1964 accepted as Hyalonema (Oonema) ovichela Lévi, 1964 (original description)
Papyrula sphaera Lendenfeld, 1907 accepted as Penares sphaera (Lendenfeld, 1907) (additional source)
Polymastia disclera Lévi, 1964 (original description)
Sigmatoxella annexa (Schmidt, 1870) accepted as Desmacella annexa Schmidt, 1870 (additional source)
Tethya magna Kirkpatrick, 1903 (additional source)
Tethycordyla pediculata Lévi, 1964 accepted as Halicometes pediculata (Lévi, 1964) (original description)
Thenea fenestrata (Schmidt, 1880) (additional source)
Tylodesma vestibularis Wilson, 1904 accepted as Desmacella vestibularis (Wilson, 1904) (additional source)

Antarctica East Abyssal Province for Cladorhiza ephyrula Lévi, 1964 
Delagoa for Ancorina corticata Lévi, 1964 
East African Coral Coast for Cladorhiza nematophora Lévi, 1964 
Natal for Polymastia disclera Lévi, 1964 
Northern Monsoon Current Coast for Chondrocladia multichela Lévi, 1964 
Western and Northern Madagascar for Cladorhiza nematophora Lévi, 1964